Number

1,591

1,591 is a composite number, odd, a calendar year.

Arithmetic Number Deficient Number Odious Number Pernicious Number Recamán's Sequence Semiprime Squarefree Year

Notable events — 1591 AD

Mar 13 Moroccans defeat the Songhai Empire at Tondibi.
Mar 9 The Ottoman-Habsburg Long War simmers on the Danube.
Undated Sen no Rikyū commits seppuku at Hideyoshi's order.

Events compiled from Wikipedia ↗ · Licensed CC BY-SA 4.0

Year facts

Year type: Common year
Standard 365-day year; not divisible by 4 (or divisible by 100 but not 400).
Days in year: 365
ISO weeks: 52
Started on: Tuesday
January 1, 1591
Ended on: Tuesday
December 31, 1591
Friday the 13ths: 2
2 Friday the 13ths this year.
Easter Sunday: April 14
Sunday, April 14, 1591
Decade: 1590s
1590–1599
Century: 16th century
1501–1600
Millennium: 2nd millennium
1001–2000
Years ago: 435
435 years before 2026.

In other calendars

Hebrew: 5351 / 5352 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 999 / 1000 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Metal zodiac:Rabbit
Sexagenary cycle position 28 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 2134 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 969 / 970 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1583 / 1584 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1513 / 1512 Saka
Indian national calendar; year starts in March.

Properties

Parity: Odd
Digit count: 4
Digit sum: 16
Digit product: 45
Digital root: 7
Palindrome: No
Bit width: 11 bits
Reversed: 1,951
Recamán's sequence: a(1,410) = 1,591
Square (n²): 2,531,281
Cube (n³): 4,027,268,071
Divisor count: 4
σ(n) — sum of divisors: 1,672
φ(n) — Euler's totient: 1,512
Sum of prime factors: 80

Primality

Prime factorization: 37 × 43

Nearest primes: 1,583 (−8) · 1,597 (+6)

Divisors & multiples

All divisors (4)

1 · 37 · 43 · 1591

Aliquot sum (sum of proper divisors): 81

Factor pairs (a × b = 1,591)

1 × 1591

37 × 43

First multiples

1,591 · 3,182 (double) · 4,773 · 6,364 · 7,955 · 9,546 · 11,137 · 12,728 · 14,319 · 15,910

Sums & aliquot sequence

As consecutive integers: 795 + 796 25 + 26 + … + 61 16 + 17 + … + 58

Aliquot sequence: 1,591 → 81 → 40 → 50 → 43 → 1 → 0 — terminates at zero

Representations

In words: one thousand five hundred ninety-one
Ordinal: 1591st
Roman numeral: MDXCI
Binary: 11000110111
Octal: 3067
Hexadecimal: 0x637
Base64: Bjc=
One's complement: 63,944 (16-bit)

In other bases

ternary (3) 2011221

quaternary (4) 120313

quinary (5) 22331

senary (6) 11211

septenary (7) 4432

nonary (9) 2157

undecimal (11) 1217

duodecimal (12) b07

tridecimal (13) 955

tetradecimal (14) 819

pentadecimal (15) 711

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian): ͵αφϟαʹ
Mayan (base 20): 𝋣·𝋳·𝋫
Chinese: 一千五百九十一
Chinese (financial): 壹仟伍佰玖拾壹

In other modern scripts

Eastern Arabic ١٥٩١ Devanagari १५९१ Bengali ১৫৯১ Tamil ௧௫௯௧ Thai ๑๕๙๑ Tibetan ༡༥༩༡ Khmer ១៥៩១ Lao ໑໕໙໑ Burmese ၁၅၉၁

Digit at this position in famous constants

π — Pi (π): Digit 1,591 = 7
e — Euler's number (e): Digit 1,591 = 8
φ — Golden ratio (φ): Digit 1,591 = 8
√2 — Pythagoras's (√2): Digit 1,591 = 3
ln 2 — Natural log of 2: Digit 1,591 = 3
γ — Euler-Mascheroni (γ): Digit 1,591 = 2

Also seen as

Unicode codepoint

Arabic Letter Tah

U+0637

Other letter (Lo)

UTF-8 encoding: D8 B7 (2 bytes).

Lookup U+0637 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000637

RGB(0, 6, 55)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.55.

Address: 0.0.6.55
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.6.55

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number

000001591

Federal Reserve

United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Look up on FedACH (official) ↗ Search Google for routing number 000001591 ↗

Position in π

The digit sequence 1591 first appears in π at position 2,957 of the decimal expansion (the 2,957ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Look up 1591 on Pi Search ↗